Voir la notice de l'article provenant de la source Numdam
On montre que le feuilletage de Lehmann nʼadmet pas de déformation non nilpotente.
We prove that Lehmannʼs foliation cannot be deformed into a non-nilpotent one.
Dathe, Hamidou 1
@article{CRMATH_2011__349_5-6_337_0, author = {Dathe, Hamidou}, title = {Sur le feuilletage de {Lehmann}}, journal = {Comptes Rendus. Math\'ematique}, pages = {337--340}, publisher = {Elsevier}, volume = {349}, number = {5-6}, year = {2011}, doi = {10.1016/j.crma.2011.02.006}, language = {fr}, url = {http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.02.006/} }
TY - JOUR AU - Dathe, Hamidou TI - Sur le feuilletage de Lehmann JO - Comptes Rendus. Mathématique PY - 2011 SP - 337 EP - 340 VL - 349 IS - 5-6 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.02.006/ DO - 10.1016/j.crma.2011.02.006 LA - fr ID - CRMATH_2011__349_5-6_337_0 ER -
Dathe, Hamidou. Sur le feuilletage de Lehmann. Comptes Rendus. Mathématique, Tome 349 (2011) no. 5-6, pp. 337-340. doi : 10.1016/j.crma.2011.02.006. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.02.006/
[1] Harish-Chandra arithmetic subgroups of algebraic groups, Annals of Mathematics, Volume 75 (1962)
[2] Exemples de feuilletages de Lie, Annales de la Faculté des Sciences de Toulouse, Ser. 6, Volume 15 (2006) no. 2, pp. 203-215
[3] Riemannian foliations: examples and problems, Progress in Mathematics, vol. 73, Birkhäuser, Boston, 1988 (Appendice E de Riemannian foliations, par P. Molino)
[4] On deformations of transversely homogenous foliations, Topology, Volume 40 (2001), pp. 1363-1393
[5] Sur lʼapproximation de certains feuilletages nilpotents par des fibrations, Comptes Rendus de lʼAcadémie de Sciences Serie A, Volume 286 (1978), pp. 251-254
[6] Curvatures of left invariants metrics on Lie groups, Advances in Mathematics, Volume 21 (1976), pp. 293-329
[7] Riemannian Foliations, Progress in Mathematics, vol. 73, Birkhäuser, Boston, 1988
[8] On fibering certain manifold over the circle, Topology, Volume 9 (1970), pp. 153-154
[9] A note on solvable Lie groups without lattices and the Felix–Thomas models of fibrations, 2000 | arXiv
Cité par Sources :